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Finding the Fourth Proportional to 16,321.80, 22,524 and 9,151.72

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Solution

The fourth proportional to 16,321.80, 22,524 and 9,151.72 is: 12,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.80 : 22,524 = 9,151.72 : x
  2. Step 2: Convert to fraction form
    16,321.80/22,524 = 9,151.72/x
  3. Step 3: Cross multiply
    16,321.80x = 22,524 × 9,151.72
  4. Step 4: Simplify right side
    16,321.80x = 206,133,341.28
  5. Step 5: Solve for x
    x = 206,133,341.28/16,321.80
  6. Step 6: Final answer
    x = 12,629.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.